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Finding the Fourth Proportional to 339.96, 510.18 and 263.10

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Solution

The fourth proportional to 339.96, 510.18 and 263.10 is: 394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.96 : 510.18 = 263.10 : x
  2. Step 2: Convert to fraction form
    339.96/510.18 = 263.10/x
  3. Step 3: Cross multiply
    339.96x = 510.18 × 263.10
  4. Step 4: Simplify right side
    339.96x = 134,228.36
  5. Step 5: Solve for x
    x = 134,228.36/339.96
  6. Step 6: Final answer
    x = 394.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.